Pure and Applied Mathematics Journal

Special Issue

Mathematical Theory and Modeling

  • Submission Deadline: 15 December 2014
  • Status: Submission Closed
  • Lead Guest Editor: Mohammed N. Murad
About This Special Issue
Mathematical theory and modeling is an integral parts of scientific and Academicians Research center. The Special Issue welcomes research articles from Scientists, Professors, and Research Scholars involved in all areas of mathematical theory and modeling from all over the world to publish high quality research papers. Submissions must be unique and should not be published earlier or be under consideration for publication while being evaluated for this Special Issue.
Lead Guest Editor

  • Mohammed N. Murad

    Math Department, Faculty of Science and Science Education, University of Sulaimani, Sulaimani, Iraq

Guest Editors

  • Jian Shen

    Department of Mathematics, Texas State University, San Marcos, United States

  • Francisco Javier Garcia-Pacheco

    University of Cadiz, Puerto Real, Spain

  • Onur Alp Ilhan

    Mathematics Department, Erciyes University, Kayseri, Turkey

  • Saleem Abdullah

    Department of Mathematics, Faculty of Science, Hazara University, Mansehra, Pakistan

  • Mohammad Hassan Anjom SHoa

    University of Birjand, Birjand, Iran

  • Tianxing Cai

    Dan. F Smith Department of Chemical Engineering. Lamar University, Beaumont, United States

  • Francisco Javier Garcia-Pacheco

    Department of Mathematics, University of Cadiz, Puerto Real, Spain

  • Hai Zhang

    School of Mathematics and Computation Science, Anqing Normal University, Anqing, China

  • Onur Alp Ilhan

    Mathematics Department, Erciyes University, Kayseri, Turkey

  • Saleem Abdullah

    Department of Mathematics, Faculty of Science, Hazara University, Mansehra, Pakistan

Published Articles

  • Catastrophic Types Depending on Degree of Non-Linearity

    Mohammed Nokhas Murad Kaki

    Issue: Volume 3, Issue 6-1, December 2014
    Pages: 24-27
    Received: 2 December 2014
    Accepted: 26 December 2014
    Published: 27 December 2014
    DOI: 10.11648/j.pamj.s.2014030601.15
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    Abstract: In this paper, we present results on the projection of the folding part of the elementary catastrophe models on the control space to find stability and catastrophic phenomenon of the periodic solutions of some nonlinear differential equations (NLDE) by using methods of catastrophe theory. We have shown here, that the cusp and Butterfly types depend... Show More
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  • New Types of Chaotic Maps

    Mohammed Nokhas Murad

    Issue: Volume 3, Issue 6-1, December 2014
    Pages: 20-23
    Received: 15 October 2014
    Accepted: 20 October 2014
    Published: 24 October 2014
    DOI: 10.11648/j.pamj.s.2014030601.14
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    Abstract: In this paper, we will study a new class of chaotic maps on locally compact Hausdorff spaces called Lambda -type chaotic maps and θ-type chaotic maps. The Lambda -type chaotic map implies chaotic map which implies θ-type chaotic map. Further, the definition of topological Lambda -type chaos implies John Tylar definition which implies topological θ-... Show More
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  • Uncertain Relations on a Finite Set and their Properties

    Xiulian Gao

    Issue: Volume 3, Issue 6-1, December 2014
    Pages: 13-19
    Received: 9 September 2014
    Accepted: 13 October 2014
    Published: 20 October 2014
    DOI: 10.11648/j.pamj.s.2014030601.13
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    Abstract: There exists some relationships which are difficult to be simply measured by “yes” or “no" in practice, and there must be a certain amount to indicate the extent of this relationship between the two elements. In this paper, the property of the uncertain relations is examined by the uncertainty theory. Firstly it offers the definition of uncertain r... Show More
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  • Two New Types of Chaotic Maps and Minimal Systems

    Mohammed Nokhas Murad Kaki , Sherko Hassan Abdurrahman

    Issue: Volume 3, Issue 6-1, December 2014
    Pages: 7-12
    Received: 5 September 2014
    Accepted: 16 September 2014
    Published: 17 September 2014
    DOI: 10.11648/j.pamj.s.2014030601.12
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    Abstract: In this paper, we introduce and study the relationship between two different notions of chaotic maps, namely topological α–chaotic maps, topological θ-chaotic maps and investigate some of their properties in two topological spaces (X, τα) and (X, τθ), τα denotes the α–topology(resp. τθ denotes the θ–topology) of a given topological space (X, τ). Th... Show More
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  • New Types of Chaos and Non-Wandering Points in Topological Spaces

    Mohammed N. Murad Kaki

    Issue: Volume 3, Issue 6-1, December 2014
    Pages: 1-6
    Received: 7 July 2014
    Accepted: 21 August 2014
    Published: 2 September 2014
    DOI: 10.11648/j.pamj.s.2014030601.11
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    Abstract: In this paper, we will define a new class of chaotic maps on locally compact Hausdorff spaces called α-type chaotic maps defined by α-type transitive maps. This new definition coincides with Devaney's definition for chaos when the topological space happens to be a metric space. Furthermore, we will study new types of non-wandering points called α-t... Show More
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